2(x+5)-2=-(2x+1)+x

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Solution for 2(x+5)-2=-(2x+1)+x equation:


Simplifying
2(x + 5) + -2 = -1(2x + 1) + x

Reorder the terms:
2(5 + x) + -2 = -1(2x + 1) + x
(5 * 2 + x * 2) + -2 = -1(2x + 1) + x
(10 + 2x) + -2 = -1(2x + 1) + x

Reorder the terms:
10 + -2 + 2x = -1(2x + 1) + x

Combine like terms: 10 + -2 = 8
8 + 2x = -1(2x + 1) + x

Reorder the terms:
8 + 2x = -1(1 + 2x) + x
8 + 2x = (1 * -1 + 2x * -1) + x
8 + 2x = (-1 + -2x) + x

Combine like terms: -2x + x = -1x
8 + 2x = -1 + -1x

Solving
8 + 2x = -1 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
8 + 2x + x = -1 + -1x + x

Combine like terms: 2x + x = 3x
8 + 3x = -1 + -1x + x

Combine like terms: -1x + x = 0
8 + 3x = -1 + 0
8 + 3x = -1

Add '-8' to each side of the equation.
8 + -8 + 3x = -1 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = -1 + -8
3x = -1 + -8

Combine like terms: -1 + -8 = -9
3x = -9

Divide each side by '3'.
x = -3

Simplifying
x = -3

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